Question

Consider the line -9x-6y=8.

What is the slope of a line perpendicular to this line
What is the slope of a line parallel to this line?
Slope of a perpendicular line:
Slope of a parallel line:

Answer 1

Slope of a perpendicular line:

`\boldsymbol{(1)/(9)}`

Slope of a parallel line:

`\boldsymbol{-9}`

Explanation:

A line perpendicular to a line y = mx + b will have its slope as
`-(1)/(m)`
Here slope of given line = -9

`\displaystyle \mathrm {reciprocal\; of\;} -9 = -(1)/(9)`

`\mathrm {negative\; of \;reciprocal\;}= -\left(-(1)/(9)\right) = (1)/(9)\\`

parallel lines have the same slope so a parallel line will have slope = -9